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Finding the Fourth Proportional to 399,612.96, 599,338.08 and 146,806.56

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Solution

The fourth proportional to 399,612.96, 599,338.08 and 146,806.56 is: 220,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,612.96 : 599,338.08 = 146,806.56 : x
  2. Step 2: Convert to fraction form
    399,612.96/599,338.08 = 146,806.56/x
  3. Step 3: Cross multiply
    399,612.96x = 599,338.08 × 146,806.56
  4. Step 4: Simplify right side
    399,612.96x = 87,986,761,801.80
  5. Step 5: Solve for x
    x = 87,986,761,801.80/399,612.96
  6. Step 6: Final answer
    x = 220,179.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.